32 × 7 × 19 × 73
1, 3, 7, 9, 19, 21, 57, 63, 73, 133, 171, 219, 399, 511, 657, 1197, 1387, 1533, 4161, 4599, 9709, 12483, 29127 and 87381
No.
Its nearest Fibonacci number neighbors are 75025 and 121393.